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Finding the Fourth Proportional to 323.80, 447.05 and 213.48

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Solution

The fourth proportional to 323.80, 447.05 and 213.48 is: 294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.80 : 447.05 = 213.48 : x
  2. Step 2: Convert to fraction form
    323.80/447.05 = 213.48/x
  3. Step 3: Cross multiply
    323.80x = 447.05 × 213.48
  4. Step 4: Simplify right side
    323.80x = 95,436.23
  5. Step 5: Solve for x
    x = 95,436.23/323.80
  6. Step 6: Final answer
    x = 294.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.